• 周まわり — surroundings / nearby area
• 円周えんしゅう — circumference
• 周囲しゅうい — perimeter / surroundings
• 周辺しゅうへん — nearby / vicinity
• 周知しゅうち — well-known / widely known
• 周到しゅうとう — meticulous / thorough

周 connects to the idea of going around a boundary or edge, hence its use in words for perimeters and surroundings. It also names the Zhou dynasty (周) in Chinese history.